engineering recuitment GATE ME 2023-24 Test Series Engineering Mathematics Transform Theory Laplace Transform
Find the value of \(\;{\rm{L}}\left[ {\frac{{{{\rm{e}}^{ - {\rm{at}}}} - {{\rm{e}}^{ - {\rm{bt}}}}}}{{\rm{t}}}} \right]\).
1
\({\rm{log}}\frac{{{\rm{s}} - {\rm{a}}}}{{{\rm{s}} - {\rm{b}}}}\)
2
\({\rm{log}}\frac{{{\rm{s}} + {\rm{a}}}}{{{\rm{s}} + {\rm{b}}}}\)
3
\({\rm{log}}\frac{{{\rm{s}} - {\rm{b}}}}{{{\rm{s}} - {\rm{a}}}}\)
4
\(\log \frac{{{\rm{s}} + {\rm{b}}}}{{{\rm{s}} + {\rm{a}}}}\)